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Finding the Third Proportional to 36,024.75 and 74,813.63

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Solution

The third proportional to 36,024.75 and 74,813.63 is: 155,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,024.75 : 74,813.63 = 74,813.63 : x
  2. Step 2: Convert to fraction form
    36,024.75/74,813.63 = 74,813.63/x
  3. Step 3: Cross multiply
    36,024.75x = 74,813.63 × 74,813.63
  4. Step 4: Simplify right side
    36,024.75x = 5,597,078,485.64
  5. Step 5: Solve for x
    x = 5,597,078,485.64/36,024.75
  6. Step 6: Final answer
    x = 155,367.59

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.